Let $a_n$ and $b_n$ be sequences such that $a_n$ is bounded. How do I show that $\lim_{n\rightarrow\infty}b_n=0$?
It is given that $a_n$ is bounded, and that's it. We do not know if $b_n$ is bounded or monotone, just that $a_n$,$b_n>0$. I think there is missing information, or maybe there is something I might not see.
Any hint for this problem?